Probability As “Softened Logic”
Soft rules
- TB ? cough
- Prob(cough | TB) = 0.9
(Causative versus diagnostic rules)
- Prob(cough | TB) = 0.9
- Prob(TB | cough) = 0.05
Probabilities allow us to reason about
- Possibly inaccurate observations
- Omitted qualifications to our rules that are (either epistemological or practically) necessary